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Volumes and circulationMetric units Unit converter

Well volumes: tubing, annulus, casing below the tubing

Tubing volume, annulus volume down to the tubing shoe, casing volume from the shoe to the bottom, total fluid volume, the kill fluid volume and the reserve required by the rules.

Formula
V_t = π/4 · d_i² · L; V_a = π/4 · (D² − d_o²) · LV_b = π/4 · D² · (H − L)V = V_t + V_a + V_b; V_k = k · VV_w = π/4 · D² · H; V_res = 2 · V_w

The well volume is taken as the production casing volume from surface to bottom. The Kazakhstan industrial safety rules (item 873) require two well volumes of kill fluid at the well before the kill. V_w − V is the tubing steel volume; couplings and surface lines are not included.

Source: Industrial safety rules for hazardous production facilities of the oil and gas industries of Kazakhstan (order of the Minister for Investment and Development No. 355 of 30.12.2014), item 873

Inputs

You can change a field's unit: the value is converted to the formula's units automatically.

D
d_o
d_i
L
H

Current plug-back depth, measured.

k

How many times the fluid volume in the well is pumped — per the job plan, allowing for losses.

Unit converter for this formulaLength · Liquid volume
Metric
  • m1
  • cm100
  • mm1,000
  • km0.001
US field units
  • ft3.28084
  • in39.3701
  • 1/32 in1,259.84
  • 1/64 in2,519.69
  • mile0.000621371
All units →
Result
V — Fluid volume with the tubing in
Fill in all fields
  • V_t — Tubing volume
    –
  • V_a — Annulus down to the tubing shoe
    –
  • V_b — Casing below the tubing shoe
    –
  • V_k — Kill fluid volume
    –
  • V_w — Well volume (casing without tubing)
    –
  • V_res — Kill fluid reserve: two well volumes
    –

More in Volumes and circulation

Well circulation: cycle time and flow velocity

Full circulation time through the tubing, the time for fluid to rise from the tubing shoe to surface in direct and reverse circulation, and the upward velocities in the annulus and in the tubing.

Results are engineering estimates from standard formulas; for design decisions check them against the codes, project documents and specialists' calculations. The formulas carried over from the original set are unchanged, and their errors are described in the notes.